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Author |
Mari, Federico; Melatti, Igor; Salvo, Ivano; Tronci, Enrico |
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Title |
Linear Constraints and Guarded Predicates as a Modeling Language for Discrete Time Hybrid Systems |
Type |
Journal Article |
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Year |
2013 |
Publication |
International Journal on Advances in Software |
Abbreviated Journal |
Intern. Journal on Advances in SW |
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Volume |
vol. 6, nr 1&2 |
Issue |
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Pages |
155-169 |
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Keywords |
Model-based software design; Linear predicates; Hybrid systems |
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Abstract |
Model based design is particularly appealing in
software based control systems (e.g., embedded
software) design, since in such a case system
level specifications are much easier to define
than the control software behavior itself. In
turn, model based design of embedded systems
requires modeling both continuous subsystems
(typically, the plant) as well as discrete
subsystems (the controller). This is typically
done using hybrid systems. Mixed Integer Linear
Programming (MILP) based abstraction techniques
have been successfully applied to automatically
synthesize correct-by-construction control
software for discrete time linear hybrid systems,
where plant dynamics is modeled as a linear
predicate over state, input, and next state
variables. Unfortunately, MILP solvers require
such linear predicates to be conjunctions of
linear constraints, which is not a natural way of
modeling hybrid systems. In this paper we show
that, under the hypothesis that each variable
ranges over a bounded interval, any linear
predicate built upon conjunction and disjunction
of linear constraints can be automatically
translated into an equivalent conjunctive
predicate. Since variable bounds play a key role
in this translation, our algorithm includes a
procedure to compute all implicit variable bounds
of the given linear predicate. Furthermore, we
show that a particular form of linear predicates,
namely guarded predicates, are a natural and
powerful language to succinctly model discrete
time linear hybrid systems dynamics. Finally, we
experimentally show the feasibility of our
approach on an important and challenging case
study taken from the literature, namely the
multi-input Buck DC-DC Converter. As an example,
the guarded predicate that models (with 57
constraints) a 6-inputs Buck DC-DC Converter is
translated in a conjunctive predicate (with 102
linear constraints) in about 40 minutes. |
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IARIA |
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Editor |
Luigi Lavazza |
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ISSN |
1942-2628 |
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yes |
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Call Number |
Sapienza @ melatti @ |
Serial |
115 |
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Author |
Della Penna, Giuseppe; Di Marco, Antinisca; Intrigila, Benedetto; Melatti, Igor; Pierantonio, Alfonso |
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Title |
Interoperability mapping from XML schemas to ER diagrams |
Type |
Journal Article |
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Year |
2006 |
Publication |
Data Knowl. Eng. |
Abbreviated Journal |
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Volume |
59 |
Issue |
1 |
Pages |
166-188 |
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Abstract |
The eXtensible Markup Language (XML) is a de facto standard on the Internet and is now being used to exchange a variety of data structures. This leads to the problem of efficiently storing, querying and retrieving a great amount of data contained in XML documents. Unfortunately, XML data often need to coexist with historical data. At present, the best solution for storing XML into pre-existing data structures is to extract the information from the XML documents and adapt it to the data structures’ logical model (e.g., the relational model of a DBMS). In this paper, we introduce a technique called Xere (XML entity–relationship exchange) to assist the integration of XML data with other data sources. To this aim, we present an algorithm that maps XML schemas into entity–relationship diagrams, discuss its soundness and completeness and show its implementation in XSLT. |
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Elsevier Science Publishers B. V. |
Place of Publication |
Amsterdam, The Netherlands, The Netherlands |
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ISSN |
0169-023x |
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yes |
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Call Number |
Sapienza @ mari @ Ddimp06 |
Serial |
77 |
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Author |
Della Penna, Giuseppe; Intrigila, Benedetto; Magazzeni, Daniele; Melatti, Igor; Tronci, Enrico |
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Title |
CGMurphi: Automatic synthesis of numerical controllers for nonlinear hybrid systems |
Type |
Journal Article |
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Year |
2013 |
Publication |
European Journal of Control |
Abbreviated Journal |
European Journal of Control |
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Volume |
19 |
Issue |
1 |
Pages |
14-36 |
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Elsevier North-Holland, Inc. |
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ISSN |
0947-3580 |
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no |
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Call Number |
Sapienza @ melatti @ |
Serial |
114 |
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Author |
Intrigila, Benedetto; Melatti, Igor; Tofani, Alberto; Macchiarelli, Guido |
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Title |
Computational models of myocardial endomysial collagen arrangement |
Type |
Journal Article |
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Year |
2007 |
Publication |
Computer Methods and Programs in Biomedicine |
Abbreviated Journal |
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Volume |
86 |
Issue |
3 |
Pages |
232-244 |
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Abstract |
Collagen extracellular matrix is one of the factors related to high passive stiffness of cardiac muscle. However, the architecture and the mechanical aspects of the cardiac collagen matrix are not completely known. In particular, endomysial collagen contribution to the passive mechanics of cardiac muscle as well as its micro anatomical arrangement is still a matter of debate. In order to investigate mechanical and structural properties of endomysial collagen, we consider two alternative computational models of some specific aspects of the cardiac muscle. These two models represent two different views of endomysial collagen distribution: (1) the traditional view and (2) a new view suggested by the data obtained from scanning electron microscopy (SEM) in NaOH macerated samples (a method for isolating collagen from the other tissue). We model the myocardial tissue as a net of spring elements representing the cardiomyocytes together with the endomysial collagen distribution. Each element is a viscous elastic spring, characterized by an elastic and a viscous constant. We connect these springs to imitate the interconnections between collagen fibers. Then we apply to the net of springs some external forces of suitable magnitude and direction, obtaining an extension of the net itself. In our setting, the ratio forces magnitude /net extension is intended to model the stress /strain ratio of a microscopical portion of the myocardial tissue. To solve the problem of the correct identification of the values of the different parameters involved, we use an artificial neural network approach. In particular, we use this technique to learn, given a distribution of external forces, the elastic constants of the springs needed to obtain a desired extension as an equilibrium position. Our experimental findings show that, in the model of collagen distribution structured according to the new view, a given stress /strain ratio (of the net of springs, in the sense specified above) is obtained with much smaller (w.r.t. the other model, corresponding to the traditional view) elasticity constants of the springs. This seems to indicate that by an appropriate structure, a given stiffness of the myocardial tissue can be obtained with endomysial collagen fibers of much smaller size. |
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Elsevier North-Holland, Inc. |
Place of Publication |
New York, NY, USA |
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ISSN |
0169-2607 |
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Approved |
yes |
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Call Number |
Sapienza @ mari @ Imtm07 |
Serial |
82 |
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Author |
Della Penna, Giuseppe; Tofani, Alberto; Pecorari, Marcello; Raparelli, Orazio; Intrigila, Benedetto; Melatti, Igor; Tronci, Enrico |
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Title |
A Case Study on Automated Generation of Integration Tests |
Type |
Conference Article |
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Year |
2006 |
Publication |
Fdl |
Abbreviated Journal |
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Pages |
278-284 |
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Ecsi |
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978-3-00-019710-9 |
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yes |
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Call Number |
Sapienza @ mari @ Dtprimt06 |
Serial |
27 |
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Author |
Mari, Federico; Melatti, Igor; Salvo, Ivano; Tronci, Enrico |
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Title |
Model Based Synthesis of Control Software from System Level Formal Specifications |
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Report |
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Year |
2013 |
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Abbreviated Journal |
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Volume |
abs/1107.5638 |
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Abstract |
Many Embedded Systems are indeed Software Based Control Systems, that is control systems whose controller consists of control software running on a microcontroller device. This motivates investigation on Formal Model Based Design approaches for automatic synthesis of embedded systems control software.
We present an algorithm, along with a tool QKS implementing it, that from a formal model (as a Discrete Time Linear Hybrid System) of the controlled system (plant), implementation specifications (that is, number of bits in the Analog-to-Digital, AD, conversion) and System Level Formal Specifications (that is, safety and liveness requirements for the closed loop system) returns correct-by-construction control software that has a Worst Case Execution Time (WCET) linear in the number of AD bits and meets the given specifications.
We show feasibility of our approach by presenting experimental results on using it to synthesize control software for a buck DC-DC converter, a widely used mixed-mode analog circuit, and for the inverted pendulum. |
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CoRR, Technical Report |
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yes |
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Call Number |
Sapienza @ mari @ |
Serial |
104 |
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Author |
Mari, Federico; Melatti, Igor; Salvo, Ivano; Tronci, Enrico |
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Title |
Quantized Feedback Control Software Synthesis from System Level Formal Specifications for Buck DC/DC Converters |
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Report |
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2011 |
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abs/1105.5640 |
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Abstract |
Many Embedded Systems are indeed Software Based Control Systems (SBCSs), that is control systems whose controller consists of control software running on a microcontroller device. This motivates investigation on Formal Model Based Design approaches for automatic synthesis of SBCS control software. In previous works we presented an algorithm, along with a tool QKS implementing it, that from a formal model (as a Discrete Time Linear Hybrid System, DTLHS) of the controlled system (plant), implementation specifications (that is, number of bits in the Analog-to-Digital, AD, conversion) and System Level Formal Specifications (that is, safety and liveness requirements for the closed loop system) returns correct-by-construction control software that has a Worst Case Execution Time (WCET) linear in the number of AD bits and meets the given specifications. In this technical report we present full experimental results on using it to synthesize control software for two versions of buck DC-DC converters (single-input and multi-input), a widely used mixed-mode analog circuit. |
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CoRR, Technical Report |
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yes |
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Sapienza @ mari @ |
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106 |
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Author |
Alimguzhin, Vadim; Mari, Federico; Melatti, Igor; Salvo, Ivano; Tronci, Enrico |
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Title |
Automatic Control Software Synthesis for Quantized Discrete Time Hybrid Systems |
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2012 |
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Volume |
abs/1207.4098 |
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Abstract |
Many Embedded Systems are indeed Software Based Control Systems, that is control systems whose controller consists of control software running on a microcontroller device. This motivates investigation on Formal Model Based Design approaches for automatic synthesis of embedded systems control software. This paper addresses control software synthesis for discrete time nonlinear systems. We present a methodology to overapproximate the dynamics of a discrete time nonlinear hybrid system H by means of a discrete time linear hybrid system L(H), in such a way that controllers for L(H) are guaranteed to be controllers for H. We present experimental results on the inverted pendulum, a challenging and meaningful benchmark in nonlinear Hybrid Systems control. |
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CoRR, Technical Report |
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yes |
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Call Number |
Sapienza @ mari @ |
Serial |
103 |
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Author |
Alimguzhin, Vadim; Mari, Federico; Melatti, Igor; Salvo, Ivano; Tronci, Enrico |
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Title |
On Model Based Synthesis of Embedded Control Software |
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Report |
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2012 |
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abs/1207.4474 |
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Abstract |
Many Embedded Systems are indeed Software Based Control Systems (SBCSs), that is control systems whose controller consists of control software running on a microcontroller device. This motivates investigation on Formal Model Based Design approaches for control software. Given the formal model of a plant as a Discrete Time Linear Hybrid System and the implementation specifications (that is, number of bits in the Analog-to-Digital (AD) conversion) correct-by-construction control software can be automatically generated from System Level Formal Specifications of the closed loop system (that is, safety and liveness requirements), by computing a suitable finite abstraction of the plant.
With respect to given implementation specifications, the automatically generated code implements a time optimal control strategy (in terms of set-up time), has a Worst Case Execution Time linear in the number of AD bits $b$, but unfortunately, its size grows exponentially with respect to $b$. In many embedded systems, there are severe restrictions on the computational resources (such as memory or computational power) available to microcontroller devices.
This paper addresses model based synthesis of control software by trading system level non-functional requirements (such us optimal set-up time, ripple) with software non-functional requirements (its footprint). Our experimental results show the effectiveness of our approach: for the inverted pendulum benchmark, by using a quantization schema with 12 bits, the size of the small controller is less than 6% of the size of the time optimal one. |
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CoRR, Technical Report |
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yes |
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Call Number |
Sapienza @ mari @ |
Serial |
102 |
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Author |
Alimguzhin, Vadim; Mari, Federico; Melatti, Igor; Salvo, Ivano; Tronci, Enrico |
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Title |
A Map-Reduce Parallel Approach to Automatic Synthesis of Control Software |
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Report |
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2012 |
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abs/1210.2276 |
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Abstract |
Many Control Systems are indeed Software Based Control Systems, i.e. control systems whose controller consists of control software running on a microcontroller device. This motivates investigation on Formal Model Based Design approaches for automatic synthesis of control software.
Available algorithms and tools (e.g., QKS) may require weeks or even months of computation to synthesize control software for large-size systems. This motivates search for parallel algorithms for control software synthesis.
In this paper, we present a map-reduce style parallel algorithm for control software synthesis when the controlled system (plant) is modeled as discrete time linear hybrid system. Furthermore we present an MPI-based implementation PQKS of our algorithm. To the best of our knowledge, this is the first parallel approach for control software synthesis.
We experimentally show effectiveness of PQKS on two classical control synthesis problems: the inverted pendulum and the multi-input buck DC/DC converter. Experiments show that PQKS efficiency is above 65%. As an example, PQKS requires about 16 hours to complete the synthesis of control software for the pendulum on a cluster with 60 processors, instead of the 25 days needed by the sequential algorithm in QKS. |
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CoRR, Technical Report |
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yes |
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Call Number |
Sapienza @ mari @ |
Serial |
101 |
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